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Finding the Fourth Proportional to 30,789.94, 42,467.68 and 23,538.42

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Solution

The fourth proportional to 30,789.94, 42,467.68 and 23,538.42 is: 32,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.94 : 42,467.68 = 23,538.42 : x
  2. Step 2: Convert to fraction form
    30,789.94/42,467.68 = 23,538.42/x
  3. Step 3: Cross multiply
    30,789.94x = 42,467.68 × 23,538.42
  4. Step 4: Simplify right side
    30,789.94x = 999,622,029.42
  5. Step 5: Solve for x
    x = 999,622,029.42/30,789.94
  6. Step 6: Final answer
    x = 32,465.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.